The number 33696
33696 is a composite number with 60 divisors. Its prime factorisation is × × 13. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36 … 33696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33696: a Harshad number: divisible by its digit sum 27.
- 2
33696 is composite. Its prime factorisation is
- 3
The divisors add up to 106722; without 33696 itself that is 73026, so 33696 is abundant (73026 is more than 33696). Euler's totient φ(33696) = 10368 numbers up to 33696 share no factor with it.
- 4
The digits of 33696 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33696 = 2^{5} \times 3^{4} \times 13 \]33696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 106722 |
| Euler totient φ(n) | 10368 |
| Square | 1135420416 |
| Cube | 38259126337536 |
| Square root | 183.564702 (= 36√26) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3696 × |
33696 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and ninety-six |
| Binary (base 2) | 1000001110100000 |
| Octal (base 8) | 101640 |
| Hexadecimal (base 16) | 83A0 |
| Base 3 | 1201020000 |
| As time | 33696 seconds = 9 h 21 min 36 s |
Is 33696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33696 ÷ 2 = 16848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33696 ÷ 3 = 11232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33696 ÷ 4 = 8424) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33696 ÷ 6 = 5616) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (33696 ÷ 8 = 4212) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33696 ÷ 9 = 3744) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33696 ÷ 12 = 2808) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33696 a prime number?
No. 33696 = × × 13, so it is divisible by 2.
What are the factors of 33696?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 72, 78, 81, 96, 104, 108, 117, 144, 156, 162, 208, 216, 234, 288, 312, 324, 351, 416, 432, 468, 624, 648, 702, 864, 936, 1053, 1248, 1296, 1404, 1872, 2106, 2592, 2808, 3744, 4212, 5616, 8424, 11232, 16848, 33696.
What is 33696 in binary?
1000001110100000 (hexadecimal 83A0, octal 101640).
What is the square root of 33696?
About 183.5647, exactly 36√26.
Is 33696 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33696?
33696 is a Harshad number: divisible by its digit sum 27.